Answer:
The rule for the translation can be written as T3, –5(x, y)
Triangle ABC has been translated 3 units to the right and 5 units down.
Step-by-step explanation: I think this is correct
Many photosynthetic organisms and large amounts of light
Answer:
the slope (or rise over run) is 2/3x, and the y intercept is -2
Step-by-step explanation:
In order to find the slope:
- subtract 2x from itself, cancelling it out. Do the same to the other side (-6).
- it should then look like this: 3y=-2x+-6
- next divide 3 from y as well as from -2 and -6.
- it should then look like this: y=2/3x+-2
Answer:
The temperature at the start is 35F
The temperature of the room is 74F
<em></em>
Step-by-step explanation:
Given
Solving (a): The temperature at the start.
To do this, we set:
So, we have:
<em>Hence, the temperature at the start is 35F</em>
<em></em>
Solving (b): The room temperature
We have:
To get the temperature of the room, we simply remove the exponential function.
So, we have:
<em>Hence, the temperature of the room is 74F</em>
Answer:
LM=12
V =90
Step-by-step explanation:
4. If it is a parallelogram, the two sides have to be equal.
2x-6 = x+3
Subtract x from each side
2x-x -6 = x+3-x
x-6 =3
Add 6 to each side
x-6+6 = 3+6
x=9
LM =2x-6
= 2*9 -6
= 18-6
= 12
5.
<U + < T = 180 Adjacent corners in a parallelogram are supplementary
11x+2 + 12x-6 = 180
Combine like terms
23x -4 = 180
Add 4 to each side
23x-4+4 = 180+4
23x = 184
Divide by 23
23x/23 = 184/23
x=8
<V = <T Opposite corners in a parallelogram are equal.
<V = 12x-6
<V = 12(8) -6
<V = 96-6
<v =90